The perimeter of Jonah's square backyard is 56 meters. What is the area of Jonah's backyard?
Answer:
area of Jonah's backyard is, 196 meter square
Step-by-step explanation:
Perimeter(P) of square is given by:
\(P =4a\)
where a is the side of thew square
As per the statement:
The perimeter of Jonah's square backyard is 56 meters
⇒\(P = 56 m\)
Using the perimeter formula to solve for a:
\(56 =4a\)
Divide both sides by 4 we have;
\(14 =a\)
or
a = 14 m
Area of a square(A) is given by:
\(A = a^2\)
Substitute the given value of a = 14 m to get area;
\(A = 14^2 = 196 m^2\)
Therefore, the the area of Jonah's backyard is, 196 meter square